Details

sample196.0ms

Algorithm

intervals

Results

89.0ms	256×	body	80	valid
57.0ms	229×	body	80	nan

simplify2.7s

Counts: 1 → 1

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize77.0ms

Local error

Found 4 expressions with local error:

2.6b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.2b	(/ (sqrt (+ a t)) t)
0.1b	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

431×	`add-sqr-sqrt`
301×	`times-frac`
255×	`*-un-lft-identity`
188×	`add-cube-cbrt`
182×	`prod-diff`
94×	`distribute-rgt-in` `distribute-lft-in`
81×	`difference-of-squares`
30×	`distribute-lft-out--`
20×	`div-inv` `associate-/l*`
16×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `flip--`
8×	`frac-times`
7×	`associate-r`
6×	`pow1` `associate-/r*` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `associate--r-`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 361

Calls

4 calls:

Slowest

228.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
11.0ms	(/ (sqrt (+ a t)) t)
8.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

350.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
122.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
70.0ms	(/ (sqrt (+ a t)) t)
40.0ms	(/ (/ 2.0 t) 3.0)

simplify1.3s

Counts: 373 → 373

prune10.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

5.2b	(/ (* z (sqrt (+ t a))) t)
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.5b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 183

Calls

4 calls:

Slowest

52.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms	(* z (sqrt (+ t a)))
20.0ms	(/ (* z (sqrt (+ t a))) t)
13.0ms	(/ 2.0 (* t 3.0))

series513.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

230.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
143.0ms	(/ (* z (sqrt (+ t a))) t)
111.0ms	(* z (sqrt (+ t a)))
29.0ms	(/ 2.0 (* t 3.0))

simplify745.0ms

Counts: 195 → 195

prune4.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

49.7b	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))))
2.6b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.2b	(/ (sqrt (+ a t)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
70×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div`
1×	`flip3-+` `flip-+` `fma-udef` `remove-posit16`

Counts

4 → 143

Calls

4 calls:

Slowest

15.0ms	(/ (sqrt (+ a t)) t)
8.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.0ms	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))))

series676.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
267.0ms	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))))
94.0ms	(/ (sqrt (+ a t)) t)
36.0ms	(/ (/ 2.0 t) 3.0)

simplify681.0ms

Counts: 155 → 155

prune5.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

2.4b	(fma (/ (sqrt (+ a t)) t) z (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666)))
0.8b	(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666))
0.2b	(/ (sqrt (+ a t)) t)
0.2b	(* (/ c t) 0.6666666666666666)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-cube-cbrt`
16×	`sqrt-prod`
13×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`associate-/r` `fma-neg` `associate-r*` `prod-diff`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate--l+` `-commutative` `flip-+` `flip--`

Counts

4 → 116

Calls

4 calls:

Slowest

31.0ms	(/ (sqrt (+ a t)) t)
10.0ms	(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666))
10.0ms	(* (/ c t) 0.6666666666666666)
1.0ms	(fma (/ (sqrt (+ a t)) t) z (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

371.0ms	(fma (/ (sqrt (+ a t)) t) z (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666)))
79.0ms	(/ (sqrt (+ a t)) t)
77.0ms	(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* (/ c t) 0.6666666666666666))
27.0ms	(* (/ c t) 0.6666666666666666)

simplify1.9s

Counts: 128 → 128

prune2.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 2.3b

bsearch11.0ms

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.2s	8000×	body	80	valid
2.3s	7942×	body	80	nan